The last I knew, EDS and HSD are mutually exclusive. HSD is typically diagnosed because you have hypermobile joints, fatigue, brain fog, POTS, and other symptoms, but you lack the very specific genetic markers that hypermobile EDS requires.

The real problem is twofold. One is that EDS had historically been a diagnosis of exclusion, and a lot of the diagnostic tests were difficult. The second is that the disorders overwhelmingly affect women, and women tend to get ignored about chronic pain and fatigue.